The length of a rectangular room is 2 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A = 2x

B. A = 2x+2(x+2)

C. A = x+(x+2)

D. A = x(x+2)

Answer Explanation:

we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then

Length of rectangle=(x+2)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+2)*x

A=x(x+2)

Therefore, the area of the rectangle becomes x(x+2).

Therefore, the Correct Answer is D.

Q #1: There are 800 students enrolled in four allied health program at a local community college. The percent students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the dental hygiene program?

A. 168

B. 144

C. 336

D. 152

Answer Explanation

we are to use the pie chart to find the number of students enrolled in dental hygiene care.

Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

We solve the value of x by cross-products.

Therefore, 144 students will enroll for a dental hygiene program.
Q #2: Which of the following is the equivalence in pounds for 55 kg? (2.2 lb=1 kg)

A. 82.2 lb

B. 22.6 lb

C. 121 lb

D. 242 lb

Answer Explanation

We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.
Q #3: Which of the following is the decimal form of 67.9%?

A. 67.9

B. 6,790

C. 0.679

D. 8.75

Answer Explanation

percentages are fractions with denominator equal to 100. Then, in decimal form:

The decimal form of 67.9% is 0.679.